Answer:
y=2x+6
Step-by-step explanation:
You can first set up the equation in point slope form and plug in your two points to solve for slope
y-y=m(x-x)
8-2=m(1+2)
6=m(3)
m=2
Then plug in one point into the point slope form equation to make it into slope intercept form
y-8=2(x-1)
y=2x-2+8
y=2x+6
The answer is 5 39/100
5.39 as a fraction is 539/100
To make that a mixed number you need to find out how many times the denominator goes into the numerator (100 goes into 539 5 times) so your whole number is 5 and you're left with 39/100 as the fraction, which can't be simplified any more.
Answer:
The answer would be 36 months
Step-by-step explanation:
Answer:
2a: (c)
5o: (1, 3) and (1,1)
3a: (b)
1a: (d)
4o: (b)
Step-by-step explanation:
2a: the equation of a circle circumference needs to be transformable to the form 
where 
is the center and <em>r</em> is the radius. (a) and (d) can’t be it because they contain non-zero factors on <em>xy</em>. (b) isn’t an equation.
5o: just put the given (<em>x</em>, <em>y</em>) into the equations and see if it holds. (2, 3) isn’t on the circumference of (1) because 
, (3, 1) isn’t on it either because 
.
3a: calculate the value of the left-hand side term of the equation using (<em>x</em>, <em>y</em>) from the given point <em>M</em>. That’s the difference of square distance to the center to the square radius 
. Thus it’s 0 if the point is on the circumference, negative if inside and positive if outside. You get 
, positive, so it’s outside the circle.
1a: see definition from 2a. Here, 
.
4o: insert the y from the straight line equation (r) (which can be equivalently transformed to 
) into the circumference equation. If it yields no solution, that’s outside, it there’s exactly one solution, that’s a tangent and if there are two solutions, it’s a secant. 
There are two solutions, so it’s a secant.
Answer:
384000
Step-by-step explanation:
